168045120 has 336 divisors, whose sum is σ = 632399040. Its totient is φ = 40808448.

The previous prime is 168045109. The next prime is 168045127. The reversal of 168045120 is 21540861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168045127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2024599 + ... + 2024681.

It is an arithmetic number, because the mean of its divisors is an integer number (1882140).

Almost surely, 2^168045120 is an apocalyptic number.

168045120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316199520).

168045120 is an abundant number, since it is smaller than the sum of its proper divisors (464353920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

168045120 is a wasteful number, since it uses less digits than its factorization.

168045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 168045120 is about 12963.2218217540. The cubic root of 168045120 is about 551.8342287351.

Adding to 168045120 its reverse (21540861), we get a palindrome (189585981).

The spelling of 168045120 in words is "one hundred sixty-eight million, forty-five thousand, one hundred twenty".